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Finding the Fourth Proportional to 13,671, 18,861.66 and 8,363.16

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Solution

The fourth proportional to 13,671, 18,861.66 and 8,363.16 is: 11,538.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,671 : 18,861.66 = 8,363.16 : x
  2. Step 2: Convert to fraction form
    13,671/18,861.66 = 8,363.16/x
  3. Step 3: Cross multiply
    13,671x = 18,861.66 × 8,363.16
  4. Step 4: Simplify right side
    13,671x = 157,743,080.45
  5. Step 5: Solve for x
    x = 157,743,080.45/13,671
  6. Step 6: Final answer
    x = 11,538.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.